Ontario School District

4th Grade Math Roadmap 2013-2014Not all of the content is emphasized equally in the standards. Some clusters require greater emphasis than the others based on the depth of the ideas, the time that they take to master, and/or their importance to future mathematics or the demands of college and career readiness. In addition, an intense focus on the most critical materials at each grade allows depth in learning which is carried out through the Standards for Mathematical Practice.

The following table identifies the major clusters = , supporting clusters = , and additional clusters = and the order in which they should be covered in the scope of the school year. Major clusters are those requiring more time and emphasis in the classroom. Students should demonstrate mastery in these areas. Resource tools have been identified as well as math vocabulary by grading period. It’s essential that students learn the c o n c e p t s , develop f l u e n cy in that concept, and that students can a pp l y the concept in problem solving.

4th Grade Fact Fluency Standard 4.NBT.4 Add/Subtract within 1,000,000 and maintain fluency in addition/subtraction/multiplication/division: Math fact fluency is the ability to recall the answers to basic math facts automatically (3 seconds and 90% accuracy is the goal). Fact fluency is defined as “quick recall without the use of tools”. Fluent in the Common Core Standards means “fast and accurate”. It is important that all students understand the concepts of addition and subtraction.

Data Collection

DatesDomains/Clusters Envisions Topic Additional Resources Vocabulary

October 11th

CFA’s Topics 1, 2, & 3

Operations and Algebraic ThinkingUse the four operations with whole numbers to solve problemsGain familiarity with factors and multiplesGenerate and analyze patterns

Number and Operations in Base TenGeneralize place value understanding for multi-digit whole numbers

Topic 1NumerationTopic 2Adding and Subtracting Whole Numbers (add in 6-2)Topic 3Multiplication Meaning and Facts (only 3-1, 3-2, 3-3)

4th Grade MoodleOnline ResourcesOtherEnvisions Interventions Lessons:Topic 1: F7-F11, H11-H13, J6Digging into Operations CCSS: lessons 1 & 2Topic 2: F26, F28, G5-G8, G11-G13, G15-G20, J1, J8Digging into Operations CCSS: lesson 3Topic 3: G21-G23, G25-G27, G32, G34Digging into Operations CCSS: lesson 4

array, product, factors, multiple, Commutative Property of Multiplication, Zero Property of Multiplication, Identity Property of Multiplication, Distributive Property, inverse operations, fact family, repeating pattern, digits, place value, standard form, expanded form, word form, compare, breaking apart, compensation, counting on, Commutative Property of Addition, Associative Property of Addition, Identity Property of Addition, inverse operations

November 22nd

CFA’s Topics 4 & 5

Operations and Algebraic ThinkingGain familiarity with factors and multiples

Number and Operations in Base TenUse place value understanding and properties of operations to perform multi-digit arithmetic

Topic 4Division Meaning and Facts (add in 6-3)Topic 5Multiplying by 1-Digit Numbers

4th Grade MoodleOnline ResourcesOtherEnvisions Intervention Lessons:Topic 4: G35, G37-G41, J10Digging into Operations CCSS: lesson 5Topic 5: G43, G45, G47-G50, J9, J34Digging into Operations CCSS: lesson 6

partial products, compensation, compatible numbers

January 23rd

CFA’s Topics 7, 8, & 14

Operations and Algebraic ThinkingGain familiarity with factors and multiples

Number and Operations in Base TenUse place value understanding and properties of operations to perform multi-digit arithmetic

Topic 7Multiplying by 2-Digit NumbersTopic 8Dividing by 1-Digit DivisorsTopic 14Area and Perimeter

4th Grade MoodleOnline ResourcesOtherEnvisions Intervention Lessons:Topic 7: G66-G71, J2Digging into Operations CCSS: lesson 7Topic 8: G42, G44, G46, G53-G56, G59, J3-J4Digging into Operations CCSS: lessons 8-12Topic 14: I44-I50, J18Digging into Geometry CCSS:lesson 1

remainder, prime number, composite number

March 14th

CFA’s Topic 10 & 12

Number and Operations-FractionsExtend understanding of fraction equivalence and orderingBuild fractions from unit fractions by applying and extending previous understandings of operations on whole numbersBuild fractions from unit fractions by applying and extending previous understandings of operations on whole numbersUnderstand decimal notation for fraction, and compare decimal

Topic 10Understanding FractionsTopic 12Understanding Decimals

4th Grade MoodleOnline ResourcesOtherEnvisions Intervention Lessons:Topic 10: H2, H3, H6, H7, H9, H14-H19, J37Digging into Fractions CCSS: lessons 1-3Topic 12: H5, H8, H10, H20-H23, H28, H30, H34, H35, J25Digging into Fractions CCSS: lessons 9-13

fraction, equivalent fractions, numerator, denominator, benchmark fractions, mixed number, improper fraction, unit fraction, tenth, hundredth, decimal point

fractionsMay 2nd

CFA’s Topics 11 & 16

Number and Operations-FractionsBuild fractions from unit fractions by applying and extending previous understandings of operations on whole numbersBuild fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

Measurement and DataSolve problems involving measurement and conversion of measurements from a larger unit to a smaller unitRepresent and interpret data

Topic 11Adding and Subtracting Fractions (add supplemental lessons for adding/subtracting mixed numbers and multiplying fractions by whole numbers)Topic 16Measurement, Time, and Temperature (cut 16-11)

4th Grade MoodleOnline ResourcesOtherEnvisions Intervention Lessons:Topic 11: H36-H38, H40, H41, J11Digging into Fractions CCSS: lessons 4-9Topic 16: I22-I36, I39, I40, I42, J27Digging into Operations CCSS: lessons13 & 14

inch, foot, yard, mile, capacity, weight, ounce, pound, ton, millimeter, centimeter, decimeter, meter, kilometer, milliliter, liter, mass, gram, kilogram

June 12th

CFA’s Topic 9

Measurement and DataGeometric measurement: understand concepts of angle and measure angles

GeometryDraw and identify lines and angels, and classify shapes by properties of their lines and angles

Topic 9Lines, Angles, and Shapes

4th Grade MoodleOnline ResourcesOtherEnvisions Intervention Lessons:Topic 9: I3-I7, I12, I17, J32Digging into Geometry CCSS: lessons 2-7

point, line, plane, parallel lines, intersecting lines, perpendicular lines, line segment, ray, angle, right angle, acute angle, obtuse angle, straight angle, degree, unit angle, angle measure, protractor, polygon, side, vertex, triangle, quadrilateral, pentagon, hexagon, octagon, equilateral triangle, isosceles triangle, scalene triangle, right triangle, acute triangle, obtuse triangle, rhombus, trapezoid, parallelogram, rectangle, square, symmetric, line of symmetry